Formation Design of Distributed Telescopes in Earth Orbit for Astrophysics Applications

Koenig, Adam W.; Macintosh, Bruce; D’Amico, Simone

doi:10.2514/1.a34420

Cited by 14 publications

(7 citation statements)

References 48 publications

(67 reference statements)

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“…In the relatively benign gravitational environment of L2, it is understood to be straightforward to maintain AE1-m position control of the spacecraft, and many methods to doing so have been identified. [50][51][52][53][54][55] Much more stringent formation flying is achieved in the more onerous gravity environment of low earth orbit with the International Space Station.…”

Section: Day 2: Starshade Technology and Engineeringmentioning

confidence: 99%

Special Section on Starshades: Overview and a Dialogue

Arenberg

Harness

Jensen-Clem

2021

J. Astron. Telesc. Instrum. Syst.

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This special section is dedicated to starshades: science, engineering, technology, and programmatics. Our reasons for organizing this special section are several fold. First as a new technology and with research accomplished in many institutions, recent results are widely scattered in the literature. As such, we see great value in colocating many of the most recent results. This guest editorial summarizes the 19 contributed papers as the result of a special call for papers. Since this is a rapidly maturing technology, we wanted to colocate a primer with the most current work in the field. It is hoped that this primer will provide a tutorial to the starshade concept and pathway to the literature not in this section. In doing so, we hope to widen the starshade community in terms of engineering and scientific engagements. This tutorial takes the form of a dialogue, where frequently asked questions are answered.

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Section: Day 2: Starshade Technology and Engineeringmentioning

confidence: 99%

Special Section on Starshades: Overview and a Dialogue

Arenberg

Harness

Jensen-Clem

2021

J. Astron. Telesc. Instrum. Syst.

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“…The proposed algorithm is validated through application to challenging spacecraft formation reconfiguration problems based on the Miniaturized Distributed Occulter/Telescope (mDOT) small satellite mission recently proposed by the authors [23]. This mission uses a nanosatellite equipped with a telescope and a microsatellite equipped with a 3m diameter occulter to obtain direct images of debris disks or large exoplanets from earth orbit.…”

Section: Validation and Performance Assessmentmentioning

confidence: 99%

“…instantaneous) orbit elements by applying a transformation that removes the effects of short-period perturbations. The dynamics model in the appendix includes the secular and long-period effects of earth oblateness (J 2 ) on the relative motion and is valid for arbitrarily large differences in right ascension of the ascending node (RAAN), enabling application on the mDOT mission [28], [29]. The third challenge can be addressed by using the optimal impulsive control algorithm proposed in this paper.…”

Section: Validation and Performance Assessmentmentioning

confidence: 99%

“…The proposed algorithm is validated in four steps. First, the performance of the algorithm is demonstrated through implementation in a challenging example problem based on the proposed Miniaturized Distributed Occulter/Telescope (mDOT) small satellite mission [23]. Second, a Monte Carlo experiment is performed to demonstrate the robustness of the algorithm and characterize the number of required iterations for a wide range of problems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast Algorithm for Fuel-Optimal Impulsive Control of Linear Systems With Time-Varying Cost

Koenig

D’Amico

2021

IEEE Trans. Automat. Contr.

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This paper presents a new computationally efficient and robust algorithm that provides energy-optimal impulsive control input sequences that drive a linear timevariant system to a desired state at a specified time. This algorithm is applicable to a broad class of problems where the cost is expressed as a time-varying norm-like function of the control input. This degree of generality enables inclusion of complex, time-varying operational constraints in the control planning problem. First, optimality conditions for this problem are derived using reachable set theory, which provides a simple geometric interpretation of the meaning of the dual variables. Next, an optimal impulsive control algorithm is developed that iteratively refines an estimate of the dual variable until the optimality criteria are satisfied to within a user-specified tolerance. The iteration procedure simultaneously ensures global convergence and minimizes computation cost by discarding inactive constraints. The algorithm is validated through implementation in challenging example problems based on the recently proposed Miniaturized Distributed Occulter/Telescope small satellite mission, which requires periodic formation reconfigurations in a perturbed orbit with time-varying attitude constraints. Additionally, it is demonstrated that the algorithm can be implemented with run times more than an order of magnitude faster than other approaches.

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“…In the relatively benign gravitational environment of L2, it is understood to be straightforward to maintain ±1 meter position control of the spacecraft and many methods to doing so have been identified. [50][51][52][53][54][55] Much more stringent formation flying is achieved in the more onerous gravity environment of Low Earth Orbit with the International Space Station.…”

Section: Day Two: Starshade Technology and Engineeringmentioning

confidence: 99%

Guest Editorial: Overview of the Special Issue and a Dialog on Starshades

Arenberg,

Harness,

Jensen-Clem

2021

Preprint

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This special issue is dedicated to starshades: science, engineering, technology and programmatics. Our reasons for organizing this special issue are several fold. First as a new technology and with research accomplished in many institutions, recent results are widely scattered in the literature. As such, we see great value in co-locating many of the most recent results. This guest editorial summarizes the 19 contributed papers as the result of a special call for papers. Since this is a rapidly maturing technology, we wanted to co-locate a primer with the most current work in the field. It is hoped that this primer will provide a tutorial to the starshade concept and pathway to the literature not in this issue. In doing so, we hope to widen the starshade community in terms of engineering and scientific engagements. This tutorial takes the form of a dialog, where frequently asked questions are answered.

show abstract

Formation Design of Distributed Telescopes in Earth Orbit for Astrophysics Applications

Abstract: to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.

Cited by 14 publications

References 48 publications

Special Section on Starshades: Overview and a Dialogue

Special Section on Starshades: Overview and a Dialogue

Fast Algorithm for Fuel-Optimal Impulsive Control of Linear Systems With Time-Varying Cost

Guest Editorial: Overview of the Special Issue and a Dialog on Starshades

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